takeko213/ch1.ipynb

## ch1.ipynb
{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import itertools"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# たくさんの点x\n",
    "X_ini = list(itertools.product([i / 10 for i in range(-10, 11)] , repeat=2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# グラフ作成用関数\n",
    "def make_graph(Y,axlim):\n",
    "    fig = plt.figure()\n",
    "    ax = fig.add_subplot(111)\n",
    "    Y = np.array(Y)\n",
    "    \n",
    "    # 点xを描画(散布図)\n",
    "    ax.scatter(x=Y[:,0], y=Y[:,1], s=10, c='gray')\n",
    "    ax.set_xlim([-axlim, axlim])\n",
    "    ax.set_ylim([-axlim, axlim])\n",
    "    \n",
    "    # 基底ベクトルを描画（矢印）\n",
    "    ax.annotate('',xy=Y[230], xytext=(0,0),arrowprops=dict(facecolor='b'))\n",
    "    ax.annotate('',xy=Y[430], xytext=(0,0),arrowprops=dict(facecolor='g'))\n",
    "    \n",
    "    plt.show()\n",
    "\n",
    "# 写像用関数\n",
    "def mapping(A,Xs):\n",
    "    Y = []\n",
    "    for X in Xs:\n",
    "        a = np.dot(A, np.array(X))\n",
    "        Y.append(a)\n",
    "    return Y"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1.2.3 写像\n",
    "$\\boldsymbol{y} = \\boldsymbol{A}\\boldsymbol{x}$\n",
    "<br>\n",
    "$\\boldsymbol{A} = \\begin{bmatrix}1 & -0.3 \\\\ -0.7 & 0.6 \\end{bmatrix}$  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 初期状態\n",
    "make_graph(Y = X_ini, axlim = 1.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 写像 \n",
    "A = np.array([[1,-0.3],[-0.7,0.6]])\n",
    "Y = mapping(A,X_ini)\n",
    "make_graph(Y,axlim = 1.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1.2.4 写像の合成"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "A = np.array([[0,-1],[1,0]])\n",
    "B = np.array([[2,0],[0,1]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0, -1],\n",
       "       [ 2,  0]])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "AB = np.dot(A,B)\n",
    "AB"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0, -2],\n",
       "       [ 1,  0]])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "BA = np.dot(B,A)\n",
    "BA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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33cUjj6zg5z9/FOkDbN3az7RpN/K3f/s+TjvttJrPbST2ZJ+bZ2zn1d68rPX8WUDWsHoNPkmcccYcPve5Szn//IN461vPZuvWJXWf20jsPbGp6bzcBC4SF4DENfouz2nTprFw4edZt24tN910DWeccYbf2eq8/E7ggvMSkBVynT7P2M7LTeAi8xKQmZnV5SOAxBWx8ZhnbOflJnDR+QjAGlbExmOesZ2Xm8ApcQFIXBEbj3nGdl5uAqfES0BWyMZjnrGdl5vAReYlIDMzq8tHAIkrYuMxz9jOy03govMRgDWsiI3HPGM7LzeBU+ICkLgiNh7zjO283AROiZeArJCNxzxjOy83gYvMS0BmZlaXjwASV8TGY56xnZebwEXnIwBrWBEbj3nGdl5uAqekqQIg6UBJD0j6Vfb9gBrzfi9pKPta2sw2rbWK2HjMM7bzchM4JU0tAUm6HtgQEddJugI4ICIWVpn3akTsM9H4XgJqjyI2HvOM7bzcBC6ydi4BzQfuyG7fAfxpk/HMzKxNmj0C+F1E7F9xf2NE7LYMJGk7MARsB66LiB82Et9HAPkrYuMxz9jOy03gomvpEYCk5ZKeqfI1fwI5zcwS+gRwk6SaC4GSFkgalDQ4Ojo6gU3YZBSx8ZhnbOflJnBK6haAiDgrIt5V5ese4CVJhwJk39fXiLEu+/488BBw4jjbG4iIvojo6+3tncSPZBNRxMZjnrGdl5vAKWl2CegG4JWKJvCBEfGFMXMOAF6LiG2SeoB/BuZHxLP14nsJqD2K2HjMM7bzchO4yNrZBL4O+KCkXwEfzO4jqU/St7I5xwCDkp4Efkq5B1D3xd/MzPLldwInroiNxzxjOy83gYvO7wS2hhWx8ZhnbOflJnBKXAASV8TGY56xnZebwCnxEpAVsvGYZ2zn5SZwkXkJyMzM6vIRQOKK2HjMM7bzchO46HwEYA0rYuMxz9jOy03glLgAJK6Ijcc8YzsvN4FT4iUgK2TjMc/YzstN4CLzEpCZmdXlI4DEFbHxmGds5+UmcNH5CMAaVsTGY56xnZebwClxAUhcERuPecZ2Xm4Cp8RLQFbIxmOesZ2Xm8BF5iUgMzOry0cAiSti4zHP2M7LTeCi8xGANayIjcc8YzsvN4FT0lQBkPRxSSsl7ZBUs+JImitpWNKa7NKR1iWK2HjMM7bzchM4JVP6+/sn/eRFixYFcDdwPHB/f3//urFzJE0B/gn4EHAtcPOiRYse7u/vH60Xf2BgoH/BggWTzs/q6+npoVQqsXXrVk444QROPvnkhsaaHe/W2M6rvXlZ6y1atOjF/v7+gUbm7tXMhiJiFYCk8aadAqyJiOezuXcD8wFfF7gLDA8Ps2LFCkqlEhs3bmT69Om7rO/WGmt2vFtjO6/25mWd1Y4ewHTghYr7I9ljVUlaIGlQ0uDoaN2DBGtSEded84ztvNwDSEndAiBpuaRnqnzNb3Ab1Q4Pap56FBEDEdEXEX29vb0NbsImq4jrznnGdl7uAaSkJaeBSnoI+HxE7HbOpqQ5QH9EfCi7fyVARFxbL65PA22PIr75KM/YzstvBCuyiZwG2o4CsBfwHHAm8FvgMeATEbGyXlwXADOziWnb+wAknSNpBJgD/FjSfdnjb5e0DCAitgOXAfcBq4DvNfLib2Zm+Wr2LKAlwJIqj68D5lXcXwYsa2ZbZmbWWn4nsJlZolwAzMwS5QJgZpYoFwAzs0S5AJiZJcoFwMwsUS4AZmaJcgEwM0uUC4CZWaJcAMzMEuUCYGaWKBcAM7NEuQCYmSXKBcDMLFEuAGZmiXIBMDNLVLNXBPu4pJWSdkiqeQkySb+W9LSkIUm+xqOZWRdo6opgwDPAR4G/a2DuByLi5Sa3Z2ZmLdLsJSFXAUhqTTZmZtY27eoBBHC/pMclLRhvoqQFkgYlDY6OjrYpPTOz9NQ9ApC0HHhblaEvRsQ9DW7n9IhYJ+lg4AFJqyPi4WoTI2IAGADo6+uLBuObmdkE1S0AEXFWsxuJiHXZ9/WSlgCnAFULgJmZtUfuS0CSpknad+dt4GzKzWMzM+ugZk8DPUfSCDAH+LGk+7LH3y5pWTbtEOAXkp4E/gX4cUT8UzPbNTOz5jV7FtASYEmVx9cB87LbzwPvbmY7ZmbWen4nsJlZolwAzMwS5QJgZpYoFwAzs0S5AJiZJcoFwMwsUS4AZmaJcgEwM0uUC4CZWaJcAMzMEuUCYGaWKBcAM7NEuQCYmSXKBcDMLFEuAGZmiWr2gjA3SFot6SlJSyTtX2PeXEnDktZIuqKZbZqZWWs0ewTwAPCuiDgeeA64cuwESVOAW4EPA8cC50s6tsntmplZk5oqABFxf0Rsz+6uAGZUmXYKsCYino+I14G7gfnNbNfMzJrXyh7AnwP3Vnl8OvBCxf2R7DEzM+ugutcElrQceFuVoS9GxD3ZnC8C24HvVAtR5bEYZ3sLgAUAM2fOrJeemZlNUt0CEBFnjTcu6VPAnwBnRkS1F/YR4LCK+zOAdeNsbwAYAOjr66tZKMzMrDnNngU0F1gIfCQiXqsx7THgSEmHS3ozcB6wtJntmplZ85rtAdwC7As8IGlI0m0Akt4uaRlA1iS+DLgPWAV8LyJWNrldMzNrUt0loPFExH+q8fg6YF7F/WXAsma2ZWZmreV3ApuZJcoFwMwsUS4AZmaJcgEwM0uUC4CZWaJU/b1b3UHSKPCvk3x6D/ByC9NpFec1Mc5rYpzXxOyJeb0jInobmdjVBaAZkgYjoq/TeYzlvCbGeU2M85qY1PPyEpCZWaJcAMzMErUnF4CBTidQg/OaGOc1Mc5rYpLOa4/tAZiZ2fj25CMAMzMbxx5TALr1AvWSPi5ppaQdkmp29SX9WtLT2aeqDnZRXu3eXwdKekDSr7LvB9SY9/tsXw1Jyu3jxev9/JLeIum72fijkmbllcsE8/q0pNGKfXRRG3K6XdJ6Sc/UGJekm7Ocn5J0Ut45NZjX+yVtqthXV7cpr8Mk/VTSquz/4uVV5uS7zyJij/gCzgb2ym5/BfhKlTlTgLXAEcCbgSeBY3PO6xjgaOAhoG+ceb8Getq4v+rm1aH9dT1wRXb7imr/jtnYq23YR3V/fuBS4Lbs9nnAd7skr08Dt7Tr9ynb5vuAk4BnaozPo3zZWAGnAo92SV7vB37Uzn2VbfdQ4KTs9r7Ac1X+HXPdZ3vMEUB06QXqI2JVRAznuY3JaDCvtu+vLP4d2e07gD/NeXvjaeTnr8z3B8CZkqpdBrXdebVdRDwMbBhnynzgzihbAewv6dAuyKsjIuLFiHgiu/3vlK+XMvZ66bnusz2mAIxRxAvUB3C/pMez6yJ3g07sr0Mi4kUo/wcBDq4x7w8kDUpaISmvItHIz//GnOwPkE3AQTnlM5G8AM7Nlg1+IOmwKuPt1s3//+ZIelLSvZLe2e6NZ0uHJwKPjhnKdZ81dUGYdmv3BepbmVcDTo+IdZIOpnyFtdXZXy6dzKvt+2sCYWZm++sI4EFJT0fE2mZzG6ORnz+XfVRHI9v8R+CuiNgm6WLKRyn/Jee86unEvmrEE5Q/PuFVSfOAHwJHtmvjkvYBFgN/ERGbxw5XeUrL9lmhCkC0+QL1rcqrwRjrsu/rJS2hfJjfVAFoQV5t31+SXpJ0aES8mB3qrq8RY+f+el7SQ5T/emp1AWjk5985Z0TSXsB+5L/cUDeviHil4u43KffFOi2X36dmVb7oRsQySV+X1BMRuX9GkKSplF/8vxMR/1BlSq77bI9ZAlKBL1AvaZqkfXfeptzQrnrGQpt1Yn8tBT6V3f4UsNuRiqQDJL0lu90DnA48m0Mujfz8lfl+DHiwxh8fbc1rzDrxRyivL3faUuCT2ZktpwKbdi73dZKkt+3s20g6hfLr4ivjP6sl2xXwbWBVRHy1xrR891m7O995fQFrKK+VDWVfO8/MeDuwrGLePMrd9rWUl0LyzuscylV8G/AScN/YvCifzfFk9rWyW/Lq0P46CPgJ8Kvs+4HZ433At7LbpwFPZ/vraeAzOeaz288PfInyHxoAfwB8P/v9+xfgiLz3UYN5XZv9Lj0J/BT4z23I6S7gRaCU/W59BrgYuDgbF3BrlvPTjHNWXJvzuqxiX60ATmtTXmdQXs55quJ1a14795nfCWxmlqg9ZgnIzMwmxgXAzCxRLgBmZolyATAzS5QLgJlZolwAzMwS5QJgZpYoFwAzs0T9P6fRh+uE/Wi6AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# AしてB\n",
    "Y = mapping(A,X_ini)\n",
    "make_graph(Y, axlim = 2.2)\n",
    "Y = mapping(B,Y)\n",
    "make_graph(Y, axlim = 2.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# BA\n",
    "Y = mapping(BA,X_ini)\n",
    "make_graph(Y, axlim = 2.2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "「AしてBする」が積BA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# BしてA\n",
    "Y = mapping(B,X_ini)\n",
    "make_graph(Y, axlim = 2.2)\n",
    "Y = mapping(A,Y)\n",
    "make_graph(Y, axlim = 2.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# AB\n",
    "Y = mapping(AB,X_ini)\n",
    "make_graph(Y, axlim = 2.2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "積BAとABは結果が異なる"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1.2.6 行列のべき乗\n",
    "$(\\boldsymbol{A}\\boldsymbol{B})^2 = \\boldsymbol{A}\\boldsymbol{B}\\boldsymbol{A}\\boldsymbol{B}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "A = np.array([[1,0],[0,0]])\n",
    "B = np.array([[0,-1],[1,0]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAD8CAYAAABzTgP2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAFbNJREFUeJzt3W+sHXd95/H3p84maFW1cbABk8TYUb2UVF057Nksu0ilpEkwPIjTNgVHQphukAVLutIiKoxSKSUt2tB9kFXV7IILgcBWJJAKcStAqfNveUJojrUh/5Dxjdlu7tolLg5Uq9BAku8+OHOrmZtz7r32nHtvbvJ+SUdn5vf7zczXc07O587MOZlUFZIkzfu5tS5AkvTiYjBIkjoMBklSh8EgSeowGCRJHQaDJKnDYJAkdRgMkqQOg0GS1HHGWhdwOjZt2lTbtm1b6zIkaV05dOjQ31fV5qXGrctg2LZtG8PhcK3LkKR1JcnfLmecp5IkSR0GgySpw2CQJHUYDJKkDoNBktQxlWBIckuSJ5M8MqE/Sf40yWySh5K8sdW3N8mR5rF3GvVIkk7ftI4YPgfsWqT/7cCO5rEP+O8ASc4Brgf+DXAxcH2SjVOqSZJ0GqYSDFX1TeDkIkN2A5+vkfuBs5NsAd4GHKyqk1X1FHCQxQNGkrTCVusaw7nAE635uaZtUvsLJNmXZJhkeOLEiRUrVJJe7lYrGDKmrRZpf2Fj1YGqGlTVYPPmJX/RLUk6TasVDHPA+a3584Bji7RLktbIagXDDPCe5ttJbwJ+XFXHgTuBy5NsbC46X960SZLWyFT+J3pJvgj8OrApyRyjbxr9M4Cq+iTwdeAdwCzwNPC7Td/JJH8EPNCs6oaqWuwitiRphU0lGKrq6iX6C/jghL5bgFumUYckqT9/+SxJ6jAYJEkdBoMkqcNgkCR1GAySpA6DQZLUYTBIkjoMBklSh8EgSeowGCRJHQaDJKnDYJAkdRgMkqQOg0GS1GEwSJI6phIMSXYlOZxkNsn+Mf03JXmweXwvyY9afc+1+mamUY8k6fT1vlFPkg3AzcBljO7h/ECSmap6bH5MVf2n1vjfAy5qreInVbWzbx2SpOmYxhHDxcBsVR2tqp8CtwG7Fxl/NfDFKWxXkrQCphEM5wJPtObnmrYXSPI6YDtwT6v5FUmGSe5PcuUU6pEk9TCNez5nTFtNGLsHuKOqnmu1ba2qY0kuAO5J8nBVPf6CjST7gH0AW7du7VuzJGmCaRwxzAHnt+bPA45NGLuHBaeRqupY83wUuI/u9Yf2uANVNaiqwebNm/vWLEmaYBrB8ACwI8n2JGcy+vB/wbeLkrwe2Ah8q9W2MclZzfQm4M3AYwuXlSStnt6nkqrq2STXAncCG4BbqurRJDcAw6qaD4mrgduqqn2a6Q3Ap5I8zyikbmx/m0mStPrS/ZxeHwaDQQ2Hw7UuQ5LWlSSHqmqw1Dh/+SxJ6jAYJEkdBoMkqcNgkCR1GAySpA6DQZLUYTBIkjoMBklSh8EgSeowGCRJHQaDJKnDYJAkdRgMkqQOg0GS1GEwSJI6DAZJUsdUgiHJriSHk8wm2T+m/71JTiR5sHm8r9W3N8mR5rF3GvVIkk5f71t7JtkA3AxcBswBDySZGXOLztur6toFy54DXA8MgAIONcs+1bcuSdLpmcYRw8XAbFUdraqfArcBu5e57NuAg1V1sgmDg8CuKdQkSTpN0wiGc4EnWvNzTdtCv53koSR3JDn/FJeVJK2SaQRDxrTVgvm/ArZV1b8E7gJuPYVlRwOTfUmGSYYnTpw47WIlSYubRjDMAee35s8DjrUHVNUPq+qZZvbPgX+13GVb6zhQVYOqGmzevHkKZUuSxplGMDwA7EiyPcmZwB5gpj0gyZbW7BXAd5vpO4HLk2xMshG4vGmTJK2R3t9Kqqpnk1zL6AN9A3BLVT2a5AZgWFUzwH9McgXwLHASeG+z7Mkkf8QoXABuqKqTfWuSJJ2+VI09pf+iNhgMajgcrnUZkrSuJDlUVYOlxvnLZ0lSh8EgSeowGCRJHQaDJKnDYJAkdRgMkqQOg0GS1GEwSJI6DAZJUofBIEnqMBgkSR0GgySpw2CQJHUYDJKkDoNBktRhMEiSOqYSDEl2JTmcZDbJ/jH9H0ryWJKHktyd5HWtvueSPNg8ZhYuK0laXb1v7ZlkA3AzcBkwBzyQZKaqHmsN+1/AoKqeTvIB4E+AdzV9P6mqnX3rkCRNxzSOGC4GZqvqaFX9FLgN2N0eUFX3VtXTzez9wHlT2K4kaQVMIxjOBZ5ozc81bZNcA3yjNf+KJMMk9ye5ctJCSfY144YnTpzoV7EkaaLep5KAjGmrsQOTdwMD4C2t5q1VdSzJBcA9SR6uqsdfsMKqA8ABgMFgMHb9kqT+pnHEMAec35o/Dzi2cFCSS4HrgCuq6pn59qo61jwfBe4DLppCTZKk0zSNYHgA2JFke5IzgT1A59tFSS4CPsUoFJ5stW9MclYzvQl4M9C+aC1JWmW9TyVV1bNJrgXuBDYAt1TVo0luAIZVNQP8F+DngS8nAfg/VXUF8AbgU0meZxRSNy74NpMkaZWlav2drh8MBjUcDte6DElaV5IcqqrBUuP85bMkqcNgkCR1GAySpA6DQZLUYTBIkjoMBklSh8EgSeowGCRJHQaDJKnDYJAkdRgMkqQOg0GS1GEwSJI6DAZJUofBIEnqmEowJNmV5HCS2ST7x/SfleT2pv/bSba1+j7atB9O8rZp1CNJOn29gyHJBuBm4O3AhcDVSS5cMOwa4Kmq+iXgJuATzbIXMroV6K8Au4D/1qxPkrRGet/aE7gYmK2qowBJbgN20713827gD5vpO4A/y+gen7uB26rqGeD7SWab9X1rCnVJq+pjH/vYP01ff/31a1iJ1M80TiWdCzzRmp9r2saOqapngR8Dr1zmstKLXjsUxs1L68k0giFj2hbeSHrSmOUsO1pBsi/JMMnwxIkTp1iiJGm5phEMc8D5rfnzgGOTxiQ5A/hF4OQylwWgqg5U1aCqBps3b55C2ZKkcaYRDA8AO5JsT3Imo4vJMwvGzAB7m+mrgHuqqpr2Pc23lrYDO4C/mUJN0qpaeE3Bawxaz3pffK6qZ5NcC9wJbABuqapHk9wADKtqBvgM8IXm4vJJRuFBM+5LjC5UPwt8sKqe61uTtBYMA71UZPSH+/oyGAxqOByudRmStK4kOVRVg6XG+ctnSVKHwSBJ6jAYJEkdBoMkqcNgkCR1GAySpA6DQZLUYTBIkjoMBklSh8EgSeowGCRJHQaDJKnDYJAkdRgMkqQOg0GS1GEwSJI6egVDknOSHExypHneOGbMziTfSvJokoeSvKvV97kk30/yYPPY2aceSVJ/fY8Y9gN3V9UO4O5mfqGngfdU1a8Au4D/muTsVv/vV9XO5vFgz3okST31DYbdwK3N9K3AlQsHVNX3qupIM30MeBLY3HO7kqQV0jcYXl1VxwGa51ctNjjJxcCZwOOt5o83p5huSnJWz3okST2dsdSAJHcBrxnTdd2pbCjJFuALwN6qer5p/ijwd4zC4gDwEeCGCcvvA/YBbN269VQ2LUk6BUsGQ1VdOqkvyQ+SbKmq480H/5MTxv0C8DXgD6rq/ta6jzeTzyT5LPDhReo4wCg8GAwGtVTdkqTT0/dU0gywt5neC3x14YAkZwJfAT5fVV9e0LeleQ6j6xOP9KxHktRT32C4EbgsyRHgsmaeJIMkn27GvBP4NeC9Y76W+hdJHgYeBjYBf9yzHklST6laf2dlBoNBDYfDtS5DktaVJIeqarDUOH/5LEnqMBgkSR0GgySpw2CQJHUYDJKkDoNBktRhMEiSOgwGSVKHwSBJ6jAYJEkdBoMkqcNgkCR1GAySpA6DQZLUYTBIkjoMBklSR69gSHJOkoNJjjTPGyeMe65197aZVvv2JN9ulr+9uQ2oJGkN9T1i2A/cXVU7gLub+XF+UlU7m8cVrfZPADc1yz8FXNOzHklST32DYTdwazN9K3DlchdMEuAS4I7TWV6StDL6BsOrq+o4QPP8qgnjXpFkmOT+JPMf/q8EflRVzzbzc8C5kzaUZF+zjuGJEyd6li1JmuSMpQYkuQt4zZiu605hO1ur6liSC4B7kjwM/MOYcTVpBVV1ADgAMBgMJo6TJPWzZDBU1aWT+pL8IMmWqjqeZAvw5IR1HGuejya5D7gI+Evg7CRnNEcN5wHHTuPfIEmaor6nkmaAvc30XuCrCwck2ZjkrGZ6E/Bm4LGqKuBe4KrFlpckra6+wXAjcFmSI8BlzTxJBkk+3Yx5AzBM8h1GQXBjVT3W9H0E+FCSWUbXHD7Tsx5JUk8Z/eG+vgwGgxoOh2tdhiStK0kOVdVgqXH+8lmS1GEwSJI6DAZJUofBIEnqMBgkSR0GgySpw2CQJHUYDJKkDoNBktRhMEiSOgwGSVKHwSBJ6jAYJEkdBoMkqcNgkCR1GAySpI5ewZDknCQHkxxpnjeOGfPWJA+2Hv+Y5Mqm73NJvt/q29mnHklSf32PGPYDd1fVDuDuZr6jqu6tqp1VtRO4BHga+OvWkN+f76+qB3vWI0nqqW8w7AZubaZvBa5cYvxVwDeq6ume25UkrZC+wfDqqjoO0Dy/aonxe4AvLmj7eJKHktyU5KxJCybZl2SYZHjixIl+VUuSJloyGJLcleSRMY/dp7KhJFuAXwXubDV/FPhl4F8D5wAfmbR8VR2oqkFVDTZv3nwqm5YknYIzlhpQVZdO6kvygyRbqup488H/5CKreifwlar6WWvdx5vJZ5J8FvjwMuuWJK2QvqeSZoC9zfRe4KuLjL2aBaeRmjAhSRhdn3ikZz2SpJ76BsONwGVJjgCXNfMkGST59PygJNuA84H/uWD5v0jyMPAwsAn44571SJJ6WvJU0mKq6ofAb4xpHwLva83/b+DcMeMu6bN9SdL0+ctnSVKHwSBJ6jAYJEkdBoMkqcNgkCR1GAySpA6DQZLUYTBIkjoMBklSh8EgSeowGCRJHQaDJKnDYJAkdRgMkqQOg0GS1NErGJL8TpJHkzyfZLDIuF1JDieZTbK/1b49ybeTHElye5Iz+9QjSeqv7xHDI8BvAd+cNCDJBuBm4O3AhcDVSS5suj8B3FRVO4CngGt61iNJ6qlXMFTVd6vq8BLDLgZmq+poVf0UuA3Y3dzn+RLgjmbcrYzu+yxJWkOrcY3hXOCJ1vxc0/ZK4EdV9eyCdknSGlryns9J7gJeM6bruqr66jK2kTFttUj7pDr2AfsAtm7duozNSpJOx5LBUFWX9tzGHHB+a/484Bjw98DZSc5ojhrm2yfVcQA4ADAYDCYGiCSpn9U4lfQAsKP5BtKZwB5gpqoKuBe4qhm3F1jOEYgkaQX1/brqbyaZA/4t8LUkdzbtr03ydYDmaOBa4E7gu8CXqurRZhUfAT6UZJbRNYfP9KlHktRfRn+4ry+DwaCGw+FalyFJ60qSQ1U18Tdn8/zlsySpw2CQJHUYDJKkDoNBktRhMEiSOtblt5KSnAD+9jQX38Tox3UvNtZ1aqzr1FjXqXmp1vW6qtq81KB1GQx9JBku5+taq826To11nRrrOjUv97o8lSRJ6jAYJEkdL8dgOLDWBUxgXafGuk6NdZ2al3VdL7trDJKkxb0cjxgkSYt4SQZDkt9J8miS55NMvIKfZFeSw0lmk+xvtW9P8u0kR5Lc3vzvwqdR1zlJDjbrPZhk45gxb03yYOvxj0mubPo+l+T7rb6dq1VXM+651rZnWu1rub92JvlW83o/lORdrb6p7q9J75dW/1nNv3+22R/bWn0fbdoPJ3lbnzpOo64PJXms2T93J3ldq2/sa7pKdb03yYnW9t/X6tvbvO5Hkuxd5bpuatX0vSQ/avWtyP5KckuSJ5M8MqE/Sf60qfmhJG9s9U1/X1XVS+4BvAF4PXAfMJgwZgPwOHABcCbwHeDCpu9LwJ5m+pPAB6ZU158A+5vp/cAnlhh/DnAS+OfN/OeAq1Zgfy2rLuD/TWhfs/0F/AtgRzP9WuA4cPa099di75fWmP8AfLKZ3gPc3kxf2Iw/C9jerGfDKtb11tZ76APzdS32mq5SXe8F/mzMsucAR5vnjc30xtWqa8H43wNuWYX99WvAG4FHJvS/A/gGoztfvgn49kruq5fkEUNVfbeqDi8x7GJgtqqOVtVPgduA3UkCXALc0Yy7FbhySqXtbta33PVeBXyjqp6e0vYnOdW6/sla76+q+l5VHWmmjwFPAkv+gOc0jH2/LFLvHcBvNPtnN3BbVT1TVd8HZpv1rUpdVXVv6z10P6O7Ja605eyvSd4GHKyqk1X1FHAQ2LVGdV0NfHFK256oqr7J6I/ASXYDn6+R+xnd/XILK7SvXpLBsEznAk+05ueatlcCP6rRDYba7dPw6qo6DtA8v2qJ8Xt44Zvy482h5E1Jzlrlul6RZJjk/vnTW7yI9leSixn9Ffh4q3la+2vS+2XsmGZ//JjR/lnOsitZV9s1jP7ynDfuNV3Nun67eX3uSDJ/C+AXxf5qTrltB+5pNa/U/lrKpLpXZF8tec/nF6skdwGvGdN1XVUt5xahGdNWi7T3rmu562jWswX4VUZ3vpv3UeDvGH34HWB0B7wbVrGurVV1LMkFwD1JHgb+Ycy4tdpfXwD2VtXzTfNp769xmxjTtvDfuSLvqSUse91J3g0MgLe0ml/wmlbV4+OWX4G6/gr4YlU9k+T9jI62LlnmsitZ17w9wB1V9VyrbaX211JW9b21boOhqi7tuYo54PzW/HnAMUb/H5Kzk5zR/NU33967riQ/SLKlqo43H2RPLrKqdwJfqaqftdZ9vJl8JslngQ+vZl3NqRqq6miS+4CLgL9kjfdXkl8Avgb8QXOYPb/u095fY0x6v4wbM5fkDOAXGZ0eWM6yK1kXSS5lFLZvqapn5tsnvKbT+KBbsq6q+mFr9s+BT7SW/fUFy943hZqWVVfLHuCD7YYV3F9LmVT3iuyrl/OppAeAHRl9o+ZMRm+CmRpd0bmX0fl9gL3Aco5AlmOmWd9y1vuCc5vNh+P8ef0rgbHfYFiJupJsnD8Vk2QT8GbgsbXeX81r9xVG51+/vKBvmvtr7PtlkXqvAu5p9s8MsCejby1tB3YAf9OjllOqK8lFwKeAK6rqyVb72Nd0Feva0pq9gtE94WF0lHx5U99G4HK6R84rWldT2+sZXcz9VqttJffXUmaA9zTfTnoT8OPmD5+V2VcrcYV9rR/AbzJK0meAHwB3Nu2vBb7eGvcO4HuMEv+6VvsFjP7DnQW+DJw1pbpeCdwNHGmez2naB8CnW+O2Af8X+LkFy98DPMzoA+5/AD+/WnUB/67Z9nea52teDPsLeDfwM+DB1mPnSuyvce8XRqemrmimX9H8+2eb/XFBa9nrmuUOA2+f8vt9qbruav47mN8/M0u9pqtU138GHm22fy/wy61l/32zH2eB313Nupr5PwRuXLDciu0vRn8EHm/ey3OMrgW9H3h/0x/g5qbmh2l923Il9pW/fJYkdbycTyVJksYwGCRJHQaDJKnDYJAkdRgMkqQOg0GS1GEwSJI6DAZJUsf/B8TicYMq1L+aAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# (AB)^2 = BABA\n",
    "Y = mapping(B,X_ini)\n",
    "make_graph(Y, axlim = 1.1)\n",
    "Y = mapping(A,Y)\n",
    "make_graph(Y, axlim = 1.1)\n",
    "Y = mapping(B,Y)\n",
    "make_graph(Y, axlim = 1.1)\n",
    "Y = mapping(A,Y)\n",
    "make_graph(Y, axlim = 1.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A^2 B^2 = BBAA\n",
    "Y = mapping(B,X_ini)\n",
    "make_graph(Y, axlim = 1.1)\n",
    "Y = mapping(B,Y)\n",
    "make_graph(Y, axlim = 1.1)\n",
    "Y = mapping(A,Y)\n",
    "make_graph(Y, axlim = 1.1)\n",
    "Y = mapping(A,Y)\n",
    "make_graph(Y, axlim = 1.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(AB)^2とA^2 B^2は異なる"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1.2.7 ゼロ行列・単位行列・対角行列"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# ゼロ行列\n",
    "A = np.array([[0,0],[0,0]])\n",
    "Y = mapping(A,X_ini)\n",
    "make_graph(Y, axlim = 1.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "ゼロ行列は全て原点に移す写像"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 単位行列\n",
    "A = np.array([[1,0],[0,1]])\n",
    "Y = mapping(A,X_ini)\n",
    "make_graph(Y, axlim = 1.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "単位行列はxを元のxそのままに移す"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 全成分が1の行列\n",
    "A = np.array([[1,1],[1,1]])\n",
    "Y = mapping(A,X_ini)\n",
    "make_graph(Y, axlim = 1.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "「全成分が1の行列」は単位行列ではない"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 対角行列\n",
    "A = np.array([[1.5,0],[0,0.5]])\n",
    "Y = mapping(A,X_ini)\n",
    "make_graph(Y, axlim = 1.7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 対角行列（対角成分に0がある例）\n",
    "A = np.array([[0,0],[0,0.5]])\n",
    "Y = mapping(A,X_ini)\n",
    "make_graph(Y, axlim = 1.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 対角行列（対角成分に負の数がある例）\n",
    "A = np.array([[1.5,0],[0,-0.5]])\n",
    "Y = mapping(A,X_ini)\n",
    "make_graph(Y, axlim = 1.7)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}